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Finding the Fourth Proportional to 25,682.69, 35,464.69 and 16,139.17

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Solution

The fourth proportional to 25,682.69, 35,464.69 and 16,139.17 is: 22,286.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,682.69 : 35,464.69 = 16,139.17 : x
  2. Step 2: Convert to fraction form
    25,682.69/35,464.69 = 16,139.17/x
  3. Step 3: Cross multiply
    25,682.69x = 35,464.69 × 16,139.17
  4. Step 4: Simplify right side
    25,682.69x = 572,370,435.14
  5. Step 5: Solve for x
    x = 572,370,435.14/25,682.69
  6. Step 6: Final answer
    x = 22,286.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.